How do you find the slope and intercept of 2x+5y=10?

Apr 16, 2018

$\text{slope "=-2/5," y-intercept } = 2$

Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{rearrange "2x+5y=10" into this form}$

$\text{subtract 2x from both sides}$

$\cancel{2 x} \cancel{- 2 x} + 5 y = - 2 x + 10$

$\Rightarrow 5 y = - 2 x + 10$

$\text{divide all terms by 5}$

$\Rightarrow y = - \frac{2}{5} x + 2 \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope "=-2/5" and y-intercept } = 2$